Topics Nonlinear Dynamics Appl

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.13/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Author : Richard H. Rand
Publisher : Routledge
ISBN 13 : 9782884491143
Total Pages : 229 pages
Book Rating : 4.47/5 ( download)

DOWNLOAD NOW!

Download or read book Topics Nonlinear Dynamics Appl written by Richard H. Rand and published by Routledge. This book was released on 1994-04-14 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Erik Mosekilde
Publisher : World Scientific
ISBN 13 : 9789812382771
Total Pages : 396 pages
Book Rating : 4.71/5 ( download)

DOWNLOAD NOW!

Download or read book Topics in Nonlinear Dynamics written by Erik Mosekilde and published by World Scientific. This book was released on 2003-03-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory. The overlap with examples published in other books is virtually equal to zero. The book takes the reader from detailed studies of bifurcation structures of relativity simple models to pattern formation in spatially extended systems. The book also discusses the different perspectives that nonlinear dynamics brings to different fields of science.

Author : Gaetan Kerschen
Publisher : Springer Science & Business Media
ISBN 13 : 1461465702
Total Pages : 336 pages
Book Rating : 4.06/5 ( download)

DOWNLOAD NOW!

Download or read book Topics in Nonlinear Dynamics, Volume 1 written by Gaetan Kerschen and published by Springer Science & Business Media. This book was released on 2013-05-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinearities ... In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity

Author : Visarath In
Publisher : Springer Science & Business Media
ISBN 13 : 3540856323
Total Pages : 464 pages
Book Rating : 4.20/5 ( download)

DOWNLOAD NOW!

Download or read book Applications of Nonlinear Dynamics written by Visarath In and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Author : Gaetan Kerschen
Publisher : Springer
ISBN 13 : 9781461465690
Total Pages : 0 pages
Book Rating : 4.99/5 ( download)

DOWNLOAD NOW!

Download or read book Topics in Nonlinear Dynamics, Volume 1 written by Gaetan Kerschen and published by Springer. This book was released on 2013-05-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinearities ... In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity

Author : Andreas Galka
Publisher : World Scientific
ISBN 13 : 9814493929
Total Pages : 360 pages
Book Rating : 4.25/5 ( download)

DOWNLOAD NOW!

Download or read book Topics In Nonlinear Time Series Analysis, With Implications For Eeg Analysis written by Andreas Galka and published by World Scientific. This book was released on 2000-02-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough review of a class of powerful algorithms for the numerical analysis of complex time series data which were obtained from dynamical systems. These algorithms are based on the concept of state space representations of the underlying dynamics, as introduced by nonlinear dynamics. In particular, current algorithms for state space reconstruction, correlation dimension estimation, testing for determinism and surrogate data testing are presented — algorithms which have been playing a central role in the investigation of deterministic chaos and related phenomena since 1980. Special emphasis is given to the much-disputed issue whether these algorithms can be successfully employed for the analysis of the human electroencephalogram.

Author : Marc R Roussel
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643274643
Total Pages : 190 pages
Book Rating : 4.45/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Dynamics written by Marc R Roussel and published by Morgan & Claypool Publishers. This book was released on 2019-05-01 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a hands-on approach to nonlinear dynamics using commonly available software, including the free dynamical systems software Xppaut, Matlab (or its free cousin, Octave) and the Maple symbolic algebra system. Detailed instructions for various common procedures, including bifurcation analysis using the version of AUTO embedded in Xppaut, are provided. This book also provides a survey that can be taught in a single academic term covering a greater variety of dynamical systems (discrete versus continuous time, finite versus infinite-dimensional, dissipative versus conservative) than is normally seen in introductory texts. Numerical computation and linear stability analysis are used as unifying themes throughout the book. Despite the emphasis on computer calculations, theory is not neglected, and fundamental concepts from the field of nonlinear dynamics such as solution maps and invariant manifolds are presented.

Author : George Datseris
Publisher : Springer Nature
ISBN 13 : 3030910326
Total Pages : 243 pages
Book Rating : 4.27/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Dynamics written by George Datseris and published by Springer Nature. This book was released on 2022-03-13 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.

Author : Santo Banerjee
Publisher : Springer Science & Business Media
ISBN 13 : 3642219217
Total Pages : 349 pages
Book Rating : 4.14/5 ( download)

DOWNLOAD NOW!

Download or read book Applications of Chaos and Nonlinear Dynamics in Engineering - written by Santo Banerjee and published by Springer Science & Business Media. This book was released on 2011-09-10 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This volume concentrates on reviewing the most relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. The book covers the theory as applied to robotics, electronic and communication engineering (for example chaos synchronization and cryptography) as well as to civil and mechanical engineering, where its use in damage monitoring and control is explored). Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications